Simple Quadratic Interpolation-Inspired Symbiosis Organisms Search Algorithm for Optimal Placement of Capacitors in Radial Distribution Networks with Different Loading Models

Table 9

Optimal siting and sizing of capacitors for the 69-bus system with the CP load model at different load levels.

Load level	Method	Optimal siting and sizing in kVAr	Total kVAr	Total kVAr demand
Light 50%	CSA [16]	(21, 0); (62, 600)	600	1347.3
	IHA [17]	(21, 0); (61, 550)	550
	FPA [18]	(17, 0); (61, 550)	550
	SOSc	(18, 178.14); (61, 627.28)	805.42
	SQI-SOSc	(18, 178.09); (61, 627.43)	805.52
	SOS	(18, 200); (61, 600)	800
	SQI-SOS	(18, 200); (61, 600)	800
Medium 75%	CSA [16]	(21, 0); (62, 950)	950	2020.95
	IHA [17]	(21, 0); (61, 900)	900
	FPA	(17, 0); (61, 900)	900
	SOSc	(18, 242.09); (61, 952.60)	1194.69
	SQI-SOSc	(18, 242.01); (61, 952.60)	1194.62
	SOS	(18, 250); (61, 950)	1200
	SQI-SOS	(18, 250); (61, 950)	1200
Full 100%	CSA [16]	(21, 250); (62, 1200)	1450	2694.6
	IHA [17]	(21, 350); (61, 1350)	1700
	FPA [18]	(17, 300); (61, 1250)	1550
	SOSc	(18, 242.09); (61, 1113.35)	1355.44
	SQI-SOSc	(18, 242.01); (61, 1113.41)	1355.43
	SOS	(18, 250); (61, 1100)	1350
	SQI-SOS	(18, 250); (61, 1100)	1350
Final optimal ratings (location and size) by proposed approach	SOS	Fixed: (18, 200); (61, 600)
		Switched: (18, 50); (61, 500)
	SQI-SOS	Fixed: (18, 200); (61, 600)
		Switched: (18, 50); (61, 500)